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Quantitative methods in transportation
\"This textbook of quantitative methods in transportation engineering comes with problems and a solutions manual for adopting course instructors. Basic mathematics and calculus are prerequisites\"-- Provided by publisher.
Book
A two-step perturbation method in nonlinear analysis of beams, plates and shells
The capability to predict the nonlinear response of beams, plates and shells when subjected to thermal and mechanical loads is of prime interest to structural analysis. In fact, many structures are subjected to high load levels that may result in nonlinear load-deflection relationships due to large deformations. One of the important problems deserving special attention is the study of their nonlinear response to large deflection, postbuckling and nonlinear vibration. A two-step perturbation method is firstly proposed by Shen and Zhang (1988) for postbuckling analysis of isotropic plates. This approach gives parametrical analytical expressions of the variables in the postbuckling range and has been generalized to other plate postbuckling situations. This approach is then successfully used in solving many nonlinear bending, postbuckling, and nonlinear vibration problems of composite laminated plates and shells, in particular for some difficult tasks, for example, shear deformable plates with four free edges resting on elastic foundations, contact postbuckling of laminated plates and shells, nonlinear vibration of anisotropic cylindrical shells. This approach may be found its more extensive applications in nonlinear analysis of nano-scale structures.
eBook
Testing with models
\"Engineers build models to help them test how well their solutions will work. Read about how testing small-sized models helps them spot mistakes, make improvements, and create the best solution possible!\"-- Provided by publisher.
Book
Introduction to optimum design
Optimization is a mathematical tool developed in the early 1960's used to find the most efficient and feasible solutions to an engineering problem.It can be used to find ideal shapes and physical configurations, ideal structural designs, maximum energy efficiency, and many other desired goals of engineering.This book is intended for use.
eBook
Finite Element and Boundary Methods in Structural Acoustics and Vibration
A unique and in-depth presentation of the finite element method (FEM) and the boundary element method (BEM) in structural acoustics and vibrations, this book illustrates the principles using a logical and progressive methodology, which leads to a thorough understanding of their physical and mathematical principles and their implementation to solve a wide range of problems in structural acoustics and vibration. This book helps readers to understand the principles, use of the FEM, and the BEM in structural acoustics and vibrations.
eBook
Modeling coastal and marine processes
\"Modeling is now an accepted part in the understanding, prediction and planning of environmental strategies. Perfect for undergraduate students and non-specialist readers, Modeling Coastal and Marine Processes (2nd Edition) offers an introduction into how coastal and marine models are constructed and used. The mathematics, statistics and numerical techniques used are explained in the first few chapters, making this book accessible to those without a high-level maths background. Later chapters cover modeling sea bed friction, tides, shallow sea dynamics, and ecosystem dynamics. Importantly, there is also a chapter on modeling the impact of climate change on coastal and near shore processes. New to this revised edition is a chapter on tides, tsunamis and the prediction of sea level, and additional material on the new application of the numerical techniques: flux corrected transport, finite volumes and adaptive grids to coastal and marine modeling\"-- Provided by publisher.
Book
Asymptotic methods in the theory of plates with mixed boundary conditions
Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions comprehensively covers the theoretical background of asymptotic approaches and their use in solving mechanical engineering-oriented problems of structural members, primarily plates (statics and dynamics)
with mixed boundary conditions.
The first part of this book introduces the theory and application of asymptotic methods and includes a series of approaches that have been omitted or not rigorously treated in the existing literature. These lesser known approaches include the method of summation and construction of the asymptotically equivalent functions, methods of small and large delta, and the homotopy perturbations method.
The second part of the book contains original results devoted to the solution of the mixed problems of the theory of plates, including statics, dynamics and stability of the studied objects. In addition, the applicability of the approaches presented to other related linear or nonlinear problems is addressed.
Key features:
• Includes analytical solving of mixed boundary value problems
• Introduces modern asymptotic and summation procedures
• Presents asymptotic approaches for nonlinear dynamics of rods, beams and plates
• Covers statics, dynamics and stability of plates with mixed boundary conditions
• Explains links between the Adomian and homotopy perturbation approaches
Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions is a comprehensive reference for researchers and practitioners working in the field of Mechanics of Solids and Mechanical Engineering, and is also a valuable resource for graduate and postgraduate students from Civil and Mechanical Engineering.
eBook